An optimal control problem for a viscoelastic plate in a dynamic contact with an obstacle

Year, pages: 2019, 27 - 37

We deal with an optimal control problem governed by a nonlinear hyperbolic initial-boundary value problem describing the perpendicular vibrations of a simply supported anisotropic viscoelastic plate against a rigid obstacle. A variable thickness of a plate plays the role of a control variable. We verify the existence of an optimal thickness function.

Bock, I., Kečkemétyová, M. 2019. An optimal control problem for a viscoelastic plate in a dynamic contact with an obstacle. In Tatra Mountains Mathematical Publications, vol. 71, no.1, pp. 27-37. 1210-3195. DOI: https://doi.org/0.2478/tmmp-2018-0003

Bock, I., Kečkemétyová, M. (2019). An optimal control problem for a viscoelastic plate in a dynamic contact with an obstacle. Tatra Mountains Mathematical Publications, 71(1), 27-37. 1210-3195. DOI: https://doi.org/0.2478/tmmp-2018-0003

Publisher: MÚ SAV